Solve 5x − 6 = −46

The solution of 5x − 6 = −46 is x = -8.

5x - 6 = -46\ \Rightarrow\ x = -8

Explain it step by step in chat Make a short video of it

The lines y = 5x − 6 and y = -46 meet at x = -8. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$5x - 6 = -46$
2
Add 6 to both sides:
$5x - 6 + 6 = -46 + 6 \ \Rightarrow\ 5x = -40$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-40}{5} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$5\cdot(-8) - 6 = -40 - 6 = -46 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 6 = -46\ \Rightarrow\ x = -8 \]
\[ 5x - 6 = -46 \]
\[ 5x - 6 + 6 = -46 + 6 \ \Rightarrow\ 5x = -40 \]
\[ \frac{5x}{5} = \frac{-40}{5} \ \Rightarrow\ x = -8 \]
\[ 5\cdot(-8) - 6 = -40 - 6 = -46 \checkmark \]

Trying values of x in 5x − 6 = −46

x	5x − 6	Equals -46?
-10	-56	no
-9	-51	no
-8	-46	yes
-7	-41	no
-6	-36	no

Questions

What is x in 5x − 6 = −46?

The solution of 5x − 6 = −46 is x = -8.

How do you solve 5x − 6 = −46?

Add 6 to both sides to get 5x = -40, then divide both sides by 5 to get x = -8.

How do I check the answer?

Replace x by -8: 5(-8) − 6 = -46, which is -46.

Solve 5x − 6 = −46

How to work it out

Trying values of x in 5x − 6 = −46

Questions

Similar equations